Question

The seniors and juniors at sweet valley high school are going on a trip to Busch gardens. The seniors filled 12 Van's and 13 buses with 564 total students. The juniors filled 6 Van's and 13 buses with 492 students. How many students were in each van? in each bus?

Answer 1

The seniors and juniors at sweet valley high school are going on a trip to Busch gardens. The seniors filled 12 Van's and 13 buses with 564 total students. The juniors filled 6 Van's and 13 buses with 492 students. How many students were in each van? in each bus?​

step 1

Seniors

Let

x -----> number of students in vans

y -----> number of students in bus

we have

12x+13y=564

Juniors

6x+13y=492

solve the system of equations

Solve by graphing

the solution is the intersection point both graphs

see the attached figure

the solution is the point (12,32)

therefore

In each Vans there are 12 students and in each bus there are 32 students